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Realised higher moments: theory and practice

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  • Mike Buckle
  • Jing Chen
  • Julian M. Williams

Abstract

This paper examines the incorporation of higher moments in portfolio selection problems utilising high-frequency data. Our approach combines innovations from the realised volatility literature with a portfolio selection methodology utilising higher moments. We provide an empirical study of the measurement of higher moments from tick by tick data and implement the model for a selection of stocks from the DOW 30 over the time period 2005–2011. We demonstrate a novel estimator for moments and co-moments in the presence of microstructure noise.

Suggested Citation

  • Mike Buckle & Jing Chen & Julian M. Williams, 2016. "Realised higher moments: theory and practice," The European Journal of Finance, Taylor & Francis Journals, vol. 22(13), pages 1272-1291, October.
    • Handle: RePEc:taf:eurjfi:v:22:y:2016:i:13:p:1272-1291
    DOI: 10.1080/1351847X.2014.885456
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    Cited by:

    1. Xuan Vinh Vo & Thi Tuan Anh Tran, 2021. "Higher-order comoments and asset returns: evidence from emerging equity markets," Annals of Operations Research, Springer, vol. 297(1), pages 323-340, February.
    2. Nekhili, Ramzi & Bouri, Elie, 2023. "Higher-order moments and co-moments' contribution to spillover analysis and portfolio risk management," Energy Economics, Elsevier, vol. 119(C).
    3. Wang, Chou-Wen & Liu, Kai & Li, Bin & Tan, Ken Seng, 2022. "Portfolio optimization under multivariate affine generalized hyperbolic distributions," International Review of Economics & Finance, Elsevier, vol. 80(C), pages 49-66.
    4. Chan, Raymond H. & Chow, Sheung-Chi & Guo, Xu & Wong, Wing-Keung, 2022. "Central moments, stochastic dominance, moment rule, and diversification with an application," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    5. Li, Jinyang & Shang, Pengjian, 2018. "Time irreversibility of financial time series based on higher moments and multiscale Kullback–Leibler divergence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 248-255.

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